Title : A characterization of barycentrically preassociative functions Language : English Author, co-author : Marichal, Jean-Luc [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >] Teheux, Bruno [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >] Publication date : Feb-2016 Journal title : Results in Mathematics Publisher : Springer - Birkhäuser Volume : 69 Issue/season : 1 Pages : 245-256 Peer reviewed : Yes (verified by ORBilu ) Audience : International ISSN : 1422-6383 e-ISSN : 1420-9012 City : Basel Country : Switzerland Keywords : [en] Associativity ; barycentric associativity ; barycentric preassociativity ; string functions ; functional equation ; axiomatizationAbstract : [en] We provide a characterization of the variadic functions which are barycentrically preassociative as compositions of length-preserving associative string functions with one-to-one unary maps. We also discuss some consequences of this characterization.Funders : University of Luxembourg - UL Name of the research project : F1R-MTH-PUL-15MRO3 > MRO3 > 01/03/2015 - 31/03/2018 > MARICHAL Jean-Luc Target : Researchers ; Professionals ; Students Permalink : http://hdl.handle.net/10993/22033 DOI : 10.1007/s00025-015-0501-z Other URL : http://arxiv.org/abs/1410.0778 
[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
